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Simplifying -29 + -1k = 2(k + -8) + 2 Reorder the terms: -29 + -1k = 2(-8 + k) + 2 -29 + -1k = (-8 * 2 + k * 2) + 2 -29 + -1k = (-16 + 2k) + 2 Reorder the terms: -29 + -1k = -16 + 2 + 2k Combine like terms: -16 + 2 = -14 -29 + -1k = -14 + 2k Solving -29 + -1k = -14 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -29 + -1k + -2k = -14 + 2k + -2k Combine like terms: -1k + -2k = -3k -29 + -3k = -14 + 2k + -2k Combine like terms: 2k + -2k = 0 -29 + -3k = -14 + 0 -29 + -3k = -14 Add '29' to each side of the equation. -29 + 29 + -3k = -14 + 29 Combine like terms: -29 + 29 = 0 0 + -3k = -14 + 29 -3k = -14 + 29 Combine like terms: -14 + 29 = 15 -3k = 15 Divide each side by '-3'. k = -5 Simplifying k = -5
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